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1054041205041 = 321173831757201
BaseRepresentation
bin11110101011010011100…
…00000110100100110001
310201202122221111002020200
433111221300012210301
5114232134022030131
62124115253025413
7136103060262456
oct17255160064461
93652587432220
101054041205041
1137701a866120
12150344325269
137851b356146
143903177582d
151c640cc02e6
hexf569c06931

1054041205041 has 48 divisors (see below), whose sum is σ = 1703951750592. Its totient is φ = 622470528000.

The previous prime is 1054041205031. The next prime is 1054041205057. The reversal of 1054041205041 is 1405021404501.

1054041205041 is a `hidden beast` number, since 10 + 5 + 404 + 1 + 205 + 0 + 41 = 666.

It is not a de Polignac number, because 1054041205041 - 27 = 1054041204913 is a prime.

It is a super-2 number, since 2×10540412050412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054041204996 and 1054041205014.

It is not an unprimeable number, because it can be changed into a prime (1054041205031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278760 + ... + 1478441.

It is an arithmetic number, because the mean of its divisors is an integer number (35498994804).

Almost surely, 21054041205041 is an apocalyptic number.

1054041205041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1054041205041 is a deficient number, since it is larger than the sum of its proper divisors (649910545551).

1054041205041 is a wasteful number, since it uses less digits than its factorization.

1054041205041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757374 (or 1757371 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1054041205041 its reverse (1405021404501), we get a palindrome (2459062609542).

The spelling of 1054041205041 in words is "one trillion, fifty-four billion, forty-one million, two hundred five thousand, forty-one".

Divisors: 1 3 9 11 33 73 83 99 219 249 657 747 803 913 2409 2739 6059 7227 8217 18177 54531 66649 199947 599841 1757201 5271603 15814809 19329211 57987633 128275673 145847683 173962899 384827019 437543049 1154481057 1312629147 1411032403 1604324513 4233097209 4812973539 10646880859 12699291627 14438920617 31940642577 95821927731 117115689449 351347068347 1054041205041